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Finding the Third Proportional to 144,165 and 309,640.50

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Solution

The third proportional to 144,165 and 309,640.50 is: 665,052.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,165 : 309,640.50 = 309,640.50 : x
  2. Step 2: Convert to fraction form
    144,165/309,640.50 = 309,640.50/x
  3. Step 3: Cross multiply
    144,165x = 309,640.50 × 309,640.50
  4. Step 4: Simplify right side
    144,165x = 95,877,239,240.25
  5. Step 5: Solve for x
    x = 95,877,239,240.25/144,165
  6. Step 6: Final answer
    x = 665,052.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.